# C582 — Reconstruct the macro component path

## Question

Does the source1200-year path preserve the ordered birth-law component vector?

## Inputs

```json
{
  "nodes": [
    2166,
    2026,
    1366,
    1296,
    966
  ],
  "components": [
    14,
    66,
    7,
    33
  ],
  "scale": 10
}
```

## Sources

```json
[
  "File63 §4"
]
```

## Opened utc

2026-09-28T00:19:41.409711+00:00

## Results

```json
{
  "durations": [
    140,
    660,
    70,
    330
  ],
  "total": 1200,
  "node_roles": [
    "regular Abraham",
    "regular Isaac marriage",
    "regular Joshua death",
    "cumulative Joshua endpoint",
    "Temple cardinal foundation"
  ]
}
```

## Finding

The mixed-role source path is exactly10×(14,66,7,33), retaining order as well as total1200. Its connection is a component projection; it does not equate regular and cumulative Joshua nodes.

## Reassessment

Compare its Exodus and Joshua hinges as repartitions of one total.

## Checks

```json
{
  "vector": true,
  "sum": true
}
```

## Closed utc

2026-09-28T00:19:41.409990+00:00

## Record provenance

Exact record hash: `9c4f9426e3086872cd45e8c18081dfeb2bbbaad8d866b2c79ddfb6c6bb2c76c4`

Source journal: `Research_Cycles/C0532_C0631/journal.json`